41.26 is what percent of 81.02 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 81.02 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 81.02, so we can write it down as 100%=81.02.
4. We know, that x% equals 41.26 of the output value, so we can write it down as x%=41.26.
5. Now we have two simple equations:
1) 100%=81.02
2) x%=41.26
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=81.02/41.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.26 is what percent of 81.02

100%/x%=81.02/41.26
(100/x)*x=(81.02/41.26)*x       - we multiply both sides of the equation by x
100=1.9636451769268*x       - we divide both sides of the equation by (1.9636451769268) to get x
100/1.9636451769268=x
50.925697358677=x
x=50.925697358677

now we have:
41.26 is 50.925697358677% of 81.02